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<h1>cvgmt weekly bulletin</h1>
<p><i>Weekly bulletin for <a href="http://cvgmt.sns.it">http://cvgmt.sns.it</a></i></p>
<h2>Summary</h2>
<p><b>Seminars by:</b> <a href='/seminar/557/'>Ruppen</a>, <a href='/seminar/554/'>Barchiesi</a></p>
<p><b>New papers by:</b> <a href='/person/2145/' >Tewodrose</a>, <a href='/person/260/' >Goldman</a>, <a >Bonnivard</a>, <a href='/person/39/' >Spector</a>, <a >Runa</a>, <a >Millot</a>, <a >Shieh</a>, <a href='/person/1753/' >De Rosa</a>, <a href='/person/250/' >Lemenant</a></p>
<p><b>Modified papers by:</b> <a href='/person/1826/'>Pluda</a>, <a href='/person/1898/'>Nicolussi Golo</a>, <a href='/person/103/'>Cagnetti</a>, <a >Artina</a>, <a href='/person/263/'>Mantegazza</a>, <a href='/person/1810/'>Nardini</a>, <a >Baldi</a>, <a href='/person/2063/'>Haus</a>, <a >Rossmanith</a>, <a href='/person/1394/'>Cristoferi</a>, <a >Wirth</a>, <a >Fornasier</a>, <a href='/person/120/'>Solombrino</a>, <a href='/person/119/'>Novaga</a>, <a href='/person/106/'>Brancolini</a>, <a >Schulze</a></p>
<h2>Seminars next week</h2>
<h3>Mon 28 November 2016</h3><ul>
<li><p>
NOTE THE CHANGE OF TIME AND VENUE<br /> Hans-Jӧrg Ruppen: <b><a href='/seminar/557/'>A mountain pass theorem (existence and bifurcation)</a></b><br />
Scuola Normale Superiore, Aula Bianchi, 10:00<br /> </p>
<div style="font-size: smaller;"><p>We present a new variational characterization of multiple critical
points for even energy functionals functionals corresponding to
nonlinear Schrödinger equations of the following type:
$
\left\{
\begin{array}{l}
-\Delta u + V(x) u - q(x) <br>u<br>^\sigma u = \lambda u, \quad (x\in\mathbf{R}^N)\\
u\in H^1(\mathbf{R}^N)\setminus\{0\}.
\end{array}
\right.
$
</p>
<p>
We assume $N\geq 3$, $q(x)\in L^\infty(\mathbf{R}^N)$, $q(x)>0$ a.e. with $\lim_{<br>x<br>\to\infty}q(x)=0$ and $0<\sigma <\frac{4}{N-2}$.
Our results cover the following 3 cases in a uniform way:
</p>
<p> (i) $V(x)\equiv 0$;
</p>
<p>(ii) $V(x)$ is a Coulomb potential and
</p>
<p>
(iii) $V(x)\in L^\infty(\mathbf{R}^N)$ with $V(x+k)\equiv V(x)$ for all $k\in \mathbf{Z}^N$.
</p>
<p> The eigenvalue $\lambda$ thereby may or may not lie inside a spectral gap.
</p>
<p> Our variational characterization is ``simple'' and well suited for discussing multiple bifurcation of solutions.</p>
</div> </li>
</ul>
<h3>Wed 30 November 2016</h3><ul>
<li><p>
Marco Barchiesi (Università di Napoli "Federico II"): <b><a href='/seminar/554/'>Cohesive behaviour arising in homogenization of Mumford-Shah type functionals</a></b><br />
Sala Seminari Dipartimento di Matematica di Pisa, 17:00<br /> </p>
<div style="font-size: smaller;"><p>I will discuss the effective properties of a composite material whose
micro-structure is constituted by a brittle material with periodically
distributed soft inclusions. In particular, I will show that the
presence of the soft inclusions gives rise, in the limit, to a
cohesive behaviour and a toughening phenomenon.</p>
</div> </li>
</ul>
<h2>New Papers</h2>
<p><b> Goldman, Runa:</b> <a href='/paper/3236/'>On the optimality of stripes in a variational model with non-local interactions</a></p>
<p><b> Shieh, Spector:</b> <a href='/paper/3237/'>On a new class of fractional partial differential equations II</a></p>
<p><b> Tewodrose:</b> <a href='/paper/3238/'>Weighted Sobolev inequality in CD(0,N) spaces</a></p>
<p><b> Bonnivard, Lemenant, Millot:</b> <a href='/paper/3239/'>On a phase field approximation of the planar Steiner problem: Existence, regularity, and asymptotic of minimizers</a></p>
<p><b> De Rosa:</b> <a href='/paper/3240/'>Minimization of anisotropic energies in classes of rectifiable varifolds</a></p>
<h2>Modified Papers</h2>
<p><b> Nardini:</b> <a href='/paper/2646/'>A note on the convergence of singularly perturbed second order potential-type equations</a></p>
<p><b> Artina, Cagnetti, Fornasier, Solombrino:</b> <a href='/paper/2767/'>Linearly Constrained Evolutions of Critical Points and an Application to Cohesive Fractures</a></p>
<p><b> Cristoferi:</b> <a href='/paper/2841/'>On periodic critical points and local minimizers of the Ohta-Kawasaki functional</a></p>
<p><b> Brancolini, Rossmanith, Wirth:</b> <a href='/paper/2916/'>Optimal micropatterns in 2D transport networks and their relation to image inpainting</a></p>
<p><b> Nicolussi Golo:</b> <a href='/paper/2928/'>Some remarks on contact variations in the first Heisenberg group</a></p>
<p><b> Baldi, Haus, Mantegazza:</b> <a href='/paper/3152/'>Networks Self-Similarly Moving by Curvature with Two Triple Junctions</a></p>
<p><b> Mantegazza, Novaga, Pluda, Schulze:</b> <a href='/paper/3172/'>Evolution of Networks with Multiple Junctions</a></p>
<h2>Open Positions</h2>
<p><a href="/position/201/">Borse Accademia Nazionale dei Lincei</a> (deadline: Wed 30 November 2016)</p>
<p><a href="/position/204/">BORSA DI STUDIO POST-LAUREA «MINO BONTEMPELLI» PER RICERCHE NEL CAMPO DELLE SCIENZE MATEMATICHE</a> (deadline: Wed 30 November 2016)</p>
<p><a href="/position/208/">fully-funded PhD positions at Queen Mary University of London</a> (deadline: Wed 30 November 2016)</p>
<p><a href="/position/205/">Mathematics and Statistics at the University of Maryland Baltimore County (UMBC)</a> (deadline: Thu 1 December 2016)</p>
<p><a href="/position/215/">PostDoc position in Pavia: "Variational evolution problems and optimal transport"</a> (deadline: Wed 14 December 2016)</p>
<p><b>(new)</b> <a href="/position/216/">Postdoc position - 18 months - Padova - Isoperimetric problem in the Heisenberg group</a> (deadline: Wed 21 December 2016)</p>
<p><a href="/position/198/">Premio Benedetto Sciarra</a> (deadline: Sat 31 December 2016)</p>
<p><a href="/position/211/">Cofund Inspire PhD positions at USPC Paris</a> (deadline: Mon 9 January 2017)</p>
<p><a href="/position/209/">fully-funded PhD positions at Queen Mary University of London</a> (deadline: Mon 30 January 2017)</p>
<p><a href="/position/212/">German research chair for "mathematics and its applications" at the African institute for mathematical science in Tanzania</a> (deadline: Wed 1 February 2017)</p>
<p><a href="/position/213/">Queen’s University, Canada: Tenure-track in Applied Mathematics and Mathematics</a> (deadline: Sat 1 July 2017)</p>
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